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Finding the Fourth Proportional to 419,274.70, 578,606.10 and 237,992.22

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Solution

The fourth proportional to 419,274.70, 578,606.10 and 237,992.22 is: 328,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,274.70 : 578,606.10 = 237,992.22 : x
  2. Step 2: Convert to fraction form
    419,274.70/578,606.10 = 237,992.22/x
  3. Step 3: Cross multiply
    419,274.70x = 578,606.10 × 237,992.22
  4. Step 4: Simplify right side
    419,274.70x = 137,703,750,244.54
  5. Step 5: Solve for x
    x = 137,703,750,244.54/419,274.70
  6. Step 6: Final answer
    x = 328,433.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.